What is the Greatest Common Factor of 11790 and 11794?
Greatest common factor (GCF) of 11790 and 11794 is 2.
GCF(11790,11794) = 2
We will now calculate the prime factors of 11790 and 11794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11790 and 11794.
How to find the GCF of 11790 and 11794?
We will first find the prime factorization of 11790 and 11794. After we will calculate the factors of 11790 and 11794 and find the biggest common factor number .
Step-1: Prime Factorization of 11790
Prime factors of 11790 are 2, 3, 5, 131. Prime factorization of 11790 in exponential form is:
11790 = 21 × 32 × 51 × 1311
Step-2: Prime Factorization of 11794
Prime factors of 11794 are 2, 5897. Prime factorization of 11794 in exponential form is:
11794 = 21 × 58971
Step-3: Factors of 11790
List of positive integer factors of 11790 that divides 11790 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 131, 262, 393, 655, 786, 1179, 1310, 1965, 2358, 3930, 5895
Step-4: Factors of 11794
List of positive integer factors of 11794 that divides 11790 without a remainder.
1, 2, 5897
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11790 and 11794. The biggest common factor number is the GCF number.
So the greatest common factor 11790 and 11794 is 2.
Also check out the Least Common Multiple of 11790 and 11794
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